\begin{tikzpicture}
    \tkzDefPoints{0/0/A, 4/0/B, 3.5/2.5/C, 1/3.6/D, 2/1.8/O}
    \foreach \n in {A,B,C,D} {
        \tkzDefPointOnLine[pos=2/3](O,\n)  \tkzGetPoint{\n'}
    }

    \tkzDrawPolygon(A,B,C,D)
    \tkzDrawPolygon(A',B',C',D')
    \tkzDrawSegments(O,A  O,B  O,C  O,D)
    \tkzLabelPoints[below](A,B)
    \tkzLabelPoints[right](C)
    \tkzLabelPoints[above](D)
    \tkzLabelPoints[below=.3em](O)
    \tkzLabelPoints[below](A')
    \tkzLabelPoints[below,xshift=-.3em](B')
    \tkzLabelPoints[below left](D')
    \tkzLabelPoints[below,xshift=-.5em](C')
\end{tikzpicture}

